Search a number
-
+
122330000120232 = 23317466492918207
BaseRepresentation
bin11011110100001000101100…
…001100111101100110101000
3121001010122010001001220221210
4123310020230030331212220
5112013223320012321412
61112101343133433120
734524023304344142
oct3364105414754650
9531118101056853
10122330000120232
1135a83952a27693
121187845963b7a0
135334891bc7678
14222cb370dbc92
15e2213d94183c
hex6f422c33d9a8

122330000120232 has 32 divisors (see below), whose sum is σ = 305825280192000. Its totient is φ = 40776629387904.

The previous prime is 122330000120213. The next prime is 122330000120233. The reversal of 122330000120232 is 232021000033221.

It is a happy number.

It is a super-2 number, since 2×1223300001202322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122330000120199 and 122330000120208.

It is not an unprimeable number, because it can be changed into a prime (122330000120233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40460473 + ... + 43378679.

It is an arithmetic number, because the mean of its divisors is an integer number (9557040006000).

Almost surely, 2122330000120232 is an apocalyptic number.

122330000120232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122330000120232 is an abundant number, since it is smaller than the sum of its proper divisors (183495280071768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122330000120232 is a wasteful number, since it uses less digits than its factorization.

122330000120232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664865 (or 4664861 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 122330000120232 its reverse (232021000033221), we get a palindrome (354351000153453).

The spelling of 122330000120232 in words is "one hundred twenty-two trillion, three hundred thirty billion, one hundred twenty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 1746649 2918207 3493298 5239947 5836414 6986596 8754621 10479894 11672828 13973192 17509242 20959788 23345656 35018484 41919576 70036968 5097083338343 10194166676686 15291250015029 20388333353372 30582500030058 40776666706744 61165000060116 122330000120232